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13540189796 = 2275317389
BaseRepresentation
bin11001001110000111…
…01110011001100100
31021221122020220112222
430213003232121210
5210212242033141
610115325131512
7656352500000
oct144703563144
937848226488
1013540189796
1158190a2001
12275a6b9b98
13137a288b33
149263c3700
15543aa814b
hex3270ee664

13540189796 has 144 divisors (see below), whose sum is σ = 29251998720. Its totient is φ = 5476584960.

The previous prime is 13540189783. The next prime is 13540189799. The reversal of 13540189796 is 69798104531.

13540189796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13540189799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152136920 + ... + 152137008.

It is an arithmetic number, because the mean of its divisors is an integer number (203138880).

Almost surely, 213540189796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13540189796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14625999360).

13540189796 is an abundant number, since it is smaller than the sum of its proper divisors (15711808924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13540189796 is an frugal number, since it uses more digits than its factorization.

13540189796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 53.

The spelling of 13540189796 in words is "thirteen billion, five hundred forty million, one hundred eighty-nine thousand, seven hundred ninety-six".

Divisors: 1 2 4 7 14 28 31 49 62 73 89 98 124 146 178 196 217 292 343 356 434 511 623 686 868 1022 1246 1372 1519 2044 2263 2401 2492 2759 3038 3577 4361 4526 4802 5518 6076 6497 7154 8722 9052 9604 10633 11036 12994 14308 15841 16807 17444 19313 21266 25039 25988 30527 31682 33614 38626 42532 45479 50078 61054 63364 67228 74431 77252 90958 100156 110887 122108 135191 148862 175273 181916 201407 213689 221774 270382 297724 318353 350546 402814 427378 443548 521017 540764 636706 701092 776209 805628 854756 946337 1042034 1226911 1273412 1409849 1495823 1552418 1892674 2084068 2228471 2453822 2819698 2991646 3104836 3785348 4456942 4907644 5433463 5639396 5983292 6624359 8913884 9868943 10866926 13248718 15599297 19737886 21733852 26497436 31198594 38034241 39475772 46370513 62397188 69082601 76068482 92741026 109195079 138165202 152136964 185482052 218390158 276330404 436780316 483578207 967156414 1934312828 3385047449 6770094898 13540189796